The proposed invention addresses the challenge of compensating inherent double line frequency energy in single-phase (1-ϕ) AC-DC systems, specifically in direct and indirect matrix converters. It introduces three novel active power decoupling (APD) circuits operating from the high-frequency AC (HFAC) link to inhibit power pulsations. These APD circuits use capacitors as energy storage elements to absorb pulsating components of 1-ϕ AC power, with additional switching and passive elements required for their operation. 

• The first APD topology is a full bridge converter with a DC capacitor and an interfacing inductor, placed parallel to the isolation transformer at the HFAC link. This isolation transformer is crucial for providing galvanic isolation between the primary and secondary sides of the converter, enhancing energy transfer efficiency and system stability. 
• The second topology employs two decoupling capacitors with anti-phase switches, connected similarly at the HFAC link. These components are arranged to allow effective absorption of pulsating power components, with the anti-phase switching ensuring complementary operation of the capacitors for smooth energy flow. 
• The third topology features a full bridge-based APD cell with an auxiliary DC capacitor connected in series between the matrix converter and the isolation transformer at the HFAC link. This series connection allows the auxiliary capacitor to directly interact with the pulsating power components, providing controlled and efficient energy absorption. 

These circuits can also be integrated into interoperable three-phase (3-ϕ) matrix converter topologies and are suitable for applications involving HFAC links, such as bidirectional electric vehicle chargers. Each circuit ensures optimal power loss, soft switching conditions, and efficient power reference fulfillment, enhancing performance in grid power application.